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Finding the Third Proportional to 10,951,630.31 and 17,024,802.75

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Solution

The third proportional to 10,951,630.31 and 17,024,802.75 is: 26,465,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951,630.31 : 17,024,802.75 = 17,024,802.75 : x
  2. Step 2: Convert to fraction form
    10,951,630.31/17,024,802.75 = 17,024,802.75/x
  3. Step 3: Cross multiply
    10,951,630.31x = 17,024,802.75 × 17,024,802.75
  4. Step 4: Simplify right side
    10,951,630.31x = 289,843,908,676,407.56
  5. Step 5: Solve for x
    x = 289,843,908,676,407.56/10,951,630.31
  6. Step 6: Final answer
    x = 26,465,822.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.